Atkin-Lehner |
2+ 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28730n |
Isogeny class |
Conductor |
28730 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-94298471347600 = -1 · 24 · 52 · 138 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 4 13+ 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,10531,210133] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:424:1] |
Generators of the group modulo torsion |
j |
26757728271/19536400 |
j-invariant |
L |
4.1675487945944 |
L(r)(E,1)/r! |
Ω |
0.38286315512516 |
Real period |
R |
1.3606522130707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2210c2 |
Quadratic twists by: 13 |